Solve (1/3-1/5+1/15)*45

$$( \frac { 1 } { 3 } - \frac { 1 } { 5 } + \frac { 1 } { 15 } ) \times 45$$

Evaluate

$$9$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\left(\frac{5}{15}-\frac{3}{15}+\frac{1}{15}\right)\times 45$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{5-3}{15}+\frac{1}{15}\right)\times 45$$

Subtract 3 from 5 to get 2.

$$\left(\frac{2}{15}+\frac{1}{15}\right)\times 45$$

Since \frac{2}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{15}\times 45$$

Add 2 and 1 to get 3.

$$\frac{3}{15}\times 45$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{5}\times 45$$

Multiply \frac{1}{5} and 45 to get \frac{45}{5}.

$$\frac{45}{5}$$

Divide 45 by 5 to get 9.

$$9$$

Factor

$$3^{2}$$